抄録
In this paper, we study stability property for a class of switched systems whose subsystems are normal. The subsystems can be continuous-time or discrete-time. When all continuous-time subsystems are Hurwitz stable and all discrete-time subsystems are Schur stable, we show that a common quadratic Lyapunov function exists for the subsystems and that the switched system is exponentially stable under arbitrary switching. When unstable subsystems are involved, we show that given a desired decay rate of the system, if the activation time ratio between unstable subsystems and stable ones is less than a certain value (calculated using the decay rate), then the switched system is exponentially stable with the desired decay rate.
| 元の言語 | English |
|---|---|
| ホスト出版物のタイトル | Proceedings of the IEEE Conference on Decision and Control |
| ページ | 3253-3258 |
| ページ数 | 6 |
| 巻 | 3 |
| 出版物ステータス | Published - 2004 |
| 外部発表 | Yes |
| イベント | 2004 43rd IEEE Conference on Decision and Control (CDC) - Nassau, Bahamas 継続期間: 2004 12 14 → 2004 12 17 |
Other
| Other | 2004 43rd IEEE Conference on Decision and Control (CDC) |
|---|---|
| 国 | Bahamas |
| 市 | Nassau |
| 期間 | 04/12/14 → 04/12/17 |
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ASJC Scopus subject areas
- Control and Systems Engineering
- Safety, Risk, Reliability and Quality
- Chemical Health and Safety
これを引用
Stability analysis and design of switched normal systems. / Zhai, Guisheng; Lin, Hai; Xu, Xuping; Michel, Anthony N.
Proceedings of the IEEE Conference on Decision and Control. 巻 3 2004. p. 3253-3258 ThB02.4.研究成果: Conference contribution
}
TY - GEN
T1 - Stability analysis and design of switched normal systems
AU - Zhai, Guisheng
AU - Lin, Hai
AU - Xu, Xuping
AU - Michel, Anthony N.
PY - 2004
Y1 - 2004
N2 - In this paper, we study stability property for a class of switched systems whose subsystems are normal. The subsystems can be continuous-time or discrete-time. When all continuous-time subsystems are Hurwitz stable and all discrete-time subsystems are Schur stable, we show that a common quadratic Lyapunov function exists for the subsystems and that the switched system is exponentially stable under arbitrary switching. When unstable subsystems are involved, we show that given a desired decay rate of the system, if the activation time ratio between unstable subsystems and stable ones is less than a certain value (calculated using the decay rate), then the switched system is exponentially stable with the desired decay rate.
AB - In this paper, we study stability property for a class of switched systems whose subsystems are normal. The subsystems can be continuous-time or discrete-time. When all continuous-time subsystems are Hurwitz stable and all discrete-time subsystems are Schur stable, we show that a common quadratic Lyapunov function exists for the subsystems and that the switched system is exponentially stable under arbitrary switching. When unstable subsystems are involved, we show that given a desired decay rate of the system, if the activation time ratio between unstable subsystems and stable ones is less than a certain value (calculated using the decay rate), then the switched system is exponentially stable with the desired decay rate.
UR - http://www.scopus.com/inward/record.url?scp=14244267932&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=14244267932&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:14244267932
VL - 3
SP - 3253
EP - 3258
BT - Proceedings of the IEEE Conference on Decision and Control
ER -